Integrably Parallelizable Manifolds
Proceedings of the American Mathematical Society1972Vol. 35(2), pp. 543–543
Abstract
A smooth manifold M" is called integrably parallelizable if there exists an atlas for the smooth structure on Mn such that all differentials in overlap between charts are equal to the identity map of the model for M".We show that the class of connected, integrably parallelizable, -dimensional smooth manifolds consists precisely of the open parallelizable manifolds and manifolds diffeomorphic to the /i-torus.
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